Poisson's ratio is the ratio of _____.

  1. Longitudinal strain to transverse strain
  2. shear strain to longitudinal strain
  3. Lateral strain to longitudinal strain
  4. transverse strain to shear strain

Answer (Detailed Solution Below)

Option 3 : Lateral strain to longitudinal strain

Detailed Solution

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CONCEPT:

  • Poisson's Ratio: The ratio of transverse contraction strain (or lateral strain) to longitudinal expansion strain.

\(Poisson’s\;ratio=-\frac{Transverse\;starin~(or~Lateral ~strain)}{Longitudinal\;strain}\)

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EXPLANATION:

  • From the definition of Poisson's ratio, it is the ratio of lateral strain to longitudinal strain.
  • So the correct answer is option 3.

Additional informaion

  • The longitudinal strain is the change in length divided by the original length.

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  • Lateral strain or transverse strain: The change in the dimension perpendicular to the line of action of applied force

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  • Shear strain: The ratio of the change in deformation to its original length perpendicular to the axes of the body.

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